Novel solitonary solutions of (2+1)-dimensional variable coefficient NLS equations

The objective of this paper is to obtain some solitary solutions of (2+1)-dimensional variable coefficient nonlinear Schrödinger (NLS) equations through computerized symbolic computation. By applying the [Formula: see text]-expansion and homogeneous balance method, two soliton solutions are constructed for the NLS equations, which provide a model of the interaction between two waves. Consequently, the solitary solutions are obtained in different forms of dynamical structures. Moreover, the propagation behavior of the resulting solitonary solutions is discussed. The results have rich physical structures that are helpful to explain the nonlinear soliton phenomena in nonlinear optics and plasma physics.